The chronicles of fractional calculus

JAT Machado, V Kiryakova - Fractional Calculus and Applied …, 2017 - degruyter.com
Since the 60s of last century Fractional Calculus exhibited a remarkable progress and
presently it is recognized to be an important topic in the scientific arena. This survey …

[图书][B] Mittag-Leffler functions, related topics and applications

R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin - 2020 - Springer
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

Science metrics on fractional calculus development since 1966

J Tenreiro Machado, AM Galhano, JJ Trujillo - Fractional Calculus and …, 2013 - Springer
SURVEY PAPER SCIENCE METRICS ON FRACTIONAL CALCULUS DEVELOPMENT
SINCE 1966 J. Tenreiro Machado , Alexandra M. Galhano , Juan J. Page 1 SURVEY PAPER …

[HTML][HTML] Existence and uniqueness for a problem involving Hilfer fractional derivative

KM Furati, MD Kassim - Computers & Mathematics with applications, 2012 - Elsevier
We consider an initial value problem for a class of nonlinear fractional differential equations
involving Hilfer fractional derivative. We prove existence and uniqueness of global solutions …

[图书][B] Selected aspects of fractional Brownian motion

I Nourdin - 2012 - Springer
As is well-known, the classical Brownian motion is a stochastic process which is selfsimilar
of index 1/2 and has stationary increments. It is actually the only continuous Gaussian …

On development of fractional calculus during the last fifty years

JAT Machado, AMSF Galhano, JJ Trujillo - Scientometrics, 2014 - Springer
On development of fractional calculus during the last fifty years | SpringerLink Skip to main
content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart …

Bayesian analysis of single-particle tracking data using the nested-sampling algorithm: maximum-likelihood model selection applied to stochastic-diffusivity data

S Thapa, MA Lomholt, J Krog, AG Cherstvy… - Physical Chemistry …, 2018 - pubs.rsc.org
We employ Bayesian statistics using the nested-sampling algorithm to compare and rank
multiple models of ergodic diffusion (including anomalous diffusion) as well as to assess …

[图书][B] Parameter estimation in stochastic volatility models

JPN Bishwal - 2022 - Springer
In this book, we study stochastic volatility models and methods of pricing, hedging, and
estimation. Among models, we will study models with heavy tails and long memory or long …

[图书][B] Parameter estimation in fractional diffusion models

K Kubilius, Y Mishura, K Ralchenko - 2017 - Springer
The present book is devoted to parameter estimation in diffusion continuous-time models
involving fractional Brownian motion and related processes. Our models extend and …

Statistical methods for stochastic differential equations

M Kessler, A Lindner… - Monographs on Statistics …, 2012 - api.taylorfrancis.com
The chapters of this volume represent the revised versions of the main papers given at the
seventh Séminaire Européen de Statistique on “Statistics for Stochastic Differential …